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Shawna's Surf Shop charges a flat fee of $26.25 to rent a surfboard and wetsuit. Darla's Surf Shop charges $4.50
per hour and a base fee of $8.25 to rent the same items. How many hours will the two surf shops charge the same
amount?

Respuesta :

Heather

Answer: 4 hours

Step-by-step explanation:

     First, we will write an equation for Darla's Surf Shop. Let y be the total cost and x be the number of hours rented;

       y = 4.5x + 8.25

     Next, we will substitute $26.25, the cost of Shawna's Surf Shop, into the equation for Darla's as y, the total cost;

       y = 4.5x + 8.25

       (26.25) = 4.5x + 8.25

       18 = 4.5x

       4 = x

     At four hours the two surf shops will charge the same amount.

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